4x^2-19x+30=4x+2

Simple and best practice solution for 4x^2-19x+30=4x+2 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 4x^2-19x+30=4x+2 equation: 


Simplifying
4x2 + -19x + 30 = 4x + 2

Reorder the terms:
30 + -19x + 4x2 = 4x + 2

Reorder the terms:
30 + -19x + 4x2 = 2 + 4x

Solving
30 + -19x + 4x2 = 2 + 4x

Solving for variable 'x'.

Reorder the terms:
30 + -2 + -19x + -4x + 4x2 = 2 + 4x + -2 + -4x

Combine like terms: 30 + -2 = 28
28 + -19x + -4x + 4x2 = 2 + 4x + -2 + -4x

Combine like terms: -19x + -4x = -23x
28 + -23x + 4x2 = 2 + 4x + -2 + -4x

Reorder the terms:
28 + -23x + 4x2 = 2 + -2 + 4x + -4x

Combine like terms: 2 + -2 = 0
28 + -23x + 4x2 = 0 + 4x + -4x
28 + -23x + 4x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
28 + -23x + 4x2 = 0

Factor a trinomial.
(7 + -4x)(4 + -1x) = 0


Subproblem 1
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {1.75, 4}

See similar equations:

| 6(-7+7a)=-420 | | 6(3a+6)=-126 | | 3(8+2d)=84 | | 4(-4x+1)=-156 | | 3(-1a-6)=-18 | | 3(-3+d)=21 | | 2l+2w=50 | | 6(-6x+10)=348 | | 2(-3k-2)=-58 | | 4(-2+2x)=64 | | 5(3+3a)=45 | | 4(6-3d)=-108 | | 5(7d-5)=80 | | 3(-3-d)=24 | | 6n+3=-3n+30 | | -k+6=42+3k | | 4w+9=2w+29 | | 9+4d=3d+12 | | 6+7a=3a-22 | | 6w+9=33+3w | | x^2+3x+4=8 | | 44/7+88=b | | -2-5x=x-44 | | 9+7x=x+15 | | d+7=40+4d | | 3d-9=0+6d | | 5a+6=-54-7a | | 3m-9=m-1 | | 3d-8=-5+6d | | 3y^2-13y+4= | | -10(-9x)= | | x^2+8x-11=9x-5 |

Equations solver categories